Monthly Schedule

(Honors AP Calculus, Period A)

M 1/3/011

Classes resume. No additional written HW is due, but I strongly recommend that you study for your midterm exam for at least a few days during the break. To help you, I am posting blank copies of last year’s tests (2009-10 academic year), as well as a practice midterm exam. Note: Be sure to do your studying first, since the practice exam does not cover every single topic that you are required to know on the real midterm exam. In other words, you cannot treat the practice exam as if it were a comprehensive diagnostic test. Instead, treat it as a “confidence check” to test yourself after you have prepared and studied.

 


The midterm exam covers all material discussed in class (including famous mathematicians Newton, Euler, Gödel, Weierstrass, Mandelbrot, Koch, Leibniz, and Cantor), the calculus of logic, proof of the equivalence of FTC1 and FTC2, proof of CRI, proof of the change-of-base formula, proof and application of the derivative of an inverse, and all material in the textbook through §8-4.

The statements of the following theorems should be completely solid, both the hypotheses and the conclusions: FTC1, FTC2, IVT, EVT, MVT. All can be found on the BC Calculus Cram Sheet.

 

T 1/4/011

HW due: Read §8-4; write §8-3 #9, 10, 13, 15. Be sure to write up each problem using the technique shown in class.

 

W 1/5/011

HW due: Write §8-3 #19, 22, 31; §8-4 #14, 16, 17.

 

Th 1/6/011

Review.

 

F 1/7/011

Review.

 

M 1/10/011

Mr. Hansen will be on campus (primarily MH-102) from approximately 8:30 a.m. until 3:00 p.m. today, with a lunch break at 1:00.

Any Mathcross puzzles that you wish to submit for extra credit must be received by 3:00 p.m. today. It is best to hand them to Mr. Hansen in person, or you can use e-mail if you prefer. (If you use e-mail, please send a screen shot of your completed puzzle. Use the SHIFT+PrintSc key to store the screen image into the copy buffer; then paste the image into Paintbrush or PowerPoint. Save the screen shot as a file, and then attach that file to your e-mail.)

 

F 1/14/011

Midterm Exam, 2:00 p.m., Trapier Theater. Please see the 1/3 calendar entry for study guide and practice tests. This exam counts as 20% of your first semester grade.

 

W 1/19/011

Classes resume. No additional HW due.

In class: Nonstandard group exercise.

 

Th 1/20/011

HW due (actually due Friday, but please begin working on this Wednesday night): Read §§8-5 and 8-6; write §8-5 #3, 7, 9, 22, and the following problem.

Prove, using methods of the calculus, that

(a) the area of any circle is , and
(b) the volume of any sphere is . In part (b), you should use part (a) as a lemma.

In class: Steven B. and Bobby C. cake day!

 

F 1/21/011

No additional HW due. (Form V students have a required event at school Thursday evening.) However, the §8-5 problems and parts (a) and (b) of the additional problem will be collected today.

In class: Martin K. cake day!

 

M 1/24/011

HW due: Read §8-7, and calculate the volume of a general quadratic paraboloid of height h and radius w at that height. Use (a) plane slicing perpendicular to the axis and (b) the method of cylindrical shells. Show sketches and work. For an extra challenge (optional), use (c) plane slicing parallel to the paraboloid’s axis, in which the cross sections would be parabolas instead of circles.

Hint: The quadratic paraboloid is the figure one obtains by revolving the curve y = hx2/w2, for x between 0 and w inclusive, about the y-axis.

 

T 1/25/011

HW due: Read §8-9 (note: we are skipping §8-8); write §8-7 #15, 22, 32.

 

W 1/26/011

HW due: Watch President Obama’s State of the Union speech. No additional written HW is due. Please try to clean up all of the problems that were previously assigned. Monday’s assignment, the volume of a general paraboloid, is posted at http://www.hwstore.org.

 

Th 1/27/011

Snow day (no school). The original plan was to post an additional assignment for you to work on for Friday. However, because so many students are without power, there is no additional assignment. The assignment originally due today (Thursday) has simply been moved, unchanged, to Friday.

To repeat: There is homework due Friday, but it is the same as the assignment that was already made for Thursday. If you have trouble doing the assignment, you are expected to “phone a friend,” consult the Internet, or call Mr. Hansen at 703-599-6624. Mr. Hansen will not be going anywhere until Thursday evening at the earliest.

 

F 1/28/011

HW due: Read §§9-1 and 9-2; write pp. 428-430 #R3a, R4abc, R6abc, R9ab, C4abd. This is a longer-than-usual assignment, but since you have an extra day to work on it, you are expected to finish it.

In class: Review.

 

M 1/31/011

Test (100 pts.) on Chapter 8, including portions that were discussed during the previous semester. Note, however, that §8-8 is omitted.

 

 

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Last updated: 08 Feb 2011